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Cinq Carve (Posted on 2014-04-25) Difficulty: 4 of 5
Consider a rectangular piece of paper ABCD with AB ≠ AD

Show how you can fold this piece of paper into five pieces of equal area.

*** Using any given instrument like straightedge, compass, protractor, ruler etc. is NOT permissible.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: a solution | Comment 2 of 7 |
(In reply to a solution by Jer)

Jer:


This solution looks good to me, except that I don't think you have explained how to do "parallel creases".  I have a method that works, but only if the initial creases form five equal spaces on the long side.  In other words, you need to start your process by folding the short side less than a fifth of the way towards the other short side. 

I had wondered initially why the puzzle framer specified the rectangle was not square, and it might be because of this nuance.



  Posted by Steve Herman on 2014-04-26 11:50:19
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